Question
A sphere and a cone have the same volume. Each figure has a radius of 3 inches. What is the height of the cone?
Answers
Reiny
If r = 3
Volume of sphere = (4/3)π r^3 = 36π
volume of a cone = (1/3)π r^2 h =3π h
3π h = 36π
3h = 36
h = 12
Volume of sphere = (4/3)π r^3 = 36π
volume of a cone = (1/3)π r^2 h =3π h
3π h = 36π
3h = 36
h = 12